Problem #9: Let 16x2 In(3 + Vr ) dt g(x) = Find g'(2) 64 In(11) – In(3 + V7) 1 3+V2 (A) 64 In(11) – In(3 + V7) (B) 22 (C) In(11) (D) 64 In(11) (E) In(11) – In(3+ 7) In(11) – In(3 + V7 ) (F) 3+V2 In(11) 64 In(11) 1 22 (G) 3+2 2VE (H) 2/2 3+ V2 2/2

Q: 3. Find dy y¹/3(y2/3 +5)*

A: Here we will do integration with respect to y, by the method of substitution And we will substitute…

Q: If F(x) = f(g(x)), f(2) = 8, f'(2) = 4, g(5) = 2 and g' (5) = –2, then F' (5) is %3D %3D 16 -8 12

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Q: Sn(©) Sn(10) edz+7ydydæ = a(6) cln(10) Az+7ydydx

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Q: Compute. (a) ds/dp if s = 3( p2 + 5p + 1)10 (b) d/dt (at2 + St-1 + S2)

A: (a) We have given s=3p2+5p+110. To find dsdp we have to differentiate s=3p2+5p+110 with respect to…

Q: (4x + 1)2 x2 - 5 Find S' if s = s' =

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: 5. f(x) = -2x g(x) = |x+4| h(x) = 1 %3D %3D X-3 Find (f – g)(3) a. )(7) b.

A: To find the following parts.

Q: 1 7. Let f(x) = and g(x) 1-x 1 Show that if b + 0, %3D %3D ax +b then g(x) = f (-;x).

A: f(x)=11-x , g(x)=1ax+b

Q: If f(x) = (2x – 1)(4x + 5), then a. f( – 1) = b. f'(– 1) = | c. f''(– 1) =

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 30. If (ai + 2j – k) × (-j+ 3k) = 5i –- 3j – k. Then %3D a = A 2 D 3 O123

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Q: If Var(X) = 4, Var(Y) = 16, Cov(X,Y) = 3, and E(X) = E(Y) = 0, what is E(XY)? Enter the exact…

A: Var(X)=4 Var(Y)=16 Cov(X,Y)=3 E(X)=E(Y)=0

Q: (2)Z/(5)=........... Ο (5) 5Z Ο {[0],[1],[2],[3],[4]} O Ο Ο *

A: To find: Z/(5)

Q: Let F(s) = 1 (2s − 1) (2s − 3) - Find f(t) = L-¹[F(s)]

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Q: 3 [*² [b³ – y³]² dy

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Q: 2. In(x +2) = In(12) – In (x + 3) %3D

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Q: І 8 et d t II

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Q: If B(p,q) = S, tP-'(1– t)9-1 dt then prove that %3D 1 B(p = 1, q + 1) = 2 t2p+1(1– t²)ª dt.

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Q: Find an integrating factor to the linear D. E. In(9 x+16)y+ y =20 9x +16 p(x)= (6 x+ 14) In(18 x…

A: Given the linear D.Eln (9x+16)y'+99x+16y=20we need ti find the integrating factor

Q: In(1+2x) Find the Padé approximation R1,2(x) for f(r) %3D

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Q: 2. Suppose that F(4) = 2 g(4) = 5 fr(4) = 6 %3D and 9'(4) = –3 Find h(4) %3D , h(x) = f(x)g(x) %3D…

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Q: -x-3 F(x) = S (5t + 2) dt

A: According to question given thatF(x)=∫x3x-35t+2 dt

Q: If Var(X+Y)=5, Var(X-Y)=2 and E(X)=1 and E(Y)=2 then Cov(X,Y)= (3/4 (1/4 (4/B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In (x + 2) + In (x – 1) = In (9x – 17) %3D

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Q: •1 cln(5) 1- S SmS) xy evx ´dydx r

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Q: *7× u² u?- 1 2 – du g(x) = J5x %3D 2 u + 1

A: Given, ∫(u²-1)/(u²+1) du Upper limit= 7x Lower limit= 5x

Q: Find Vq if (a) =In (r) %3D (b) p= In (-) %3D We know r= /x² + y² + z2

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Q: If r(x) = In (3x³ +x + 6), find r' (æ). Select the correct answer below: In (9x? + 1) 9x2 +1 3x3…

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Q: Show that in(x V ) 1 %3D dx x + V x2 + 1 xp x + V x² + 2V x² + 1 1 x2 + 1 +1 x2 + 1 x²+ + 1 Vx? + 1

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Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

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Q: If d(r) 4+ w*dw then 0. d'(r) =

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Q: 21. If F(x)= [ VP +1 dr, then F'(2) = %3D (A) -3 (В) -2 (C) 2 (D) 3 (E) 18

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Q: If R(t) = (3t 2 -t) i + (2- 6t) j - 4t k , find (a) R(t) dt and (b) R(t) dt.

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